Research Article

Cayley regression problem of some groups

Published in: Quaestiones Mathematicae
Volume 47 , issue 10 , 2024 , pages: 2003–2021

DOI: 10.2989/16073606.2024.2347439

Author(s): Q. Liao Guangdong University of Education, P.R. China , W. Liu Central South University, P.R. China , J. Tang Hunan First Normal University, P.R. China

Keywords: 05C60 , Generalized Cayley graph , Cayley graph , Cayley regression

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Abstract

In this paper, we consider the Cayley regression problem of the cyclic groups and the dihedral groups. We give the sufficient and necessary conditions for the cyclic group ℤ _n to be a Cayley regression. Moreover, the dihedral group D _2n is a 3-Cayley regression if n is a prime power.

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